The area under the graph of y = 1 1 + x2 and above the

Chapter 7, Problem 77

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The area under the graph of y = 1 1 + x2 and above the x-axis between x = a and x = b is given by tan-1 b - tan-1 a See the figure. y 1.5 x 3 a b 3 (a) Find the exact area under the graph of y = 1 1 + x2 and above the x-axis between x = 0 and x = 23. (b) Find the exact area under the graph of y = 1 1 + x2 and above the x-axis between x = - 23 3 and x = 1.

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